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Finding the Fourth Proportional to 4,650.68, 6,970.10 and 2,180.06

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Solution

The fourth proportional to 4,650.68, 6,970.10 and 2,180.06 is: 3,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.68 : 6,970.10 = 2,180.06 : x
  2. Step 2: Convert to fraction form
    4,650.68/6,970.10 = 2,180.06/x
  3. Step 3: Cross multiply
    4,650.68x = 6,970.10 × 2,180.06
  4. Step 4: Simplify right side
    4,650.68x = 15,195,236.21
  5. Step 5: Solve for x
    x = 15,195,236.21/4,650.68
  6. Step 6: Final answer
    x = 3,267.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.